Estimari pentru irationale patratice

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Filip Chindea
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Estimari pentru irationale patratice

Post by Filip Chindea »

Fie \( m, n > 0 \) naturale satisfacand \( \sqrt{23} > m/n \).
(a) Aratati ca \( \sqrt{23} > m/n + 3/mn \).
(b) Gasiti o infinitate de astfel de perechi \( (m, n) \) astfel incat, in plus, \( \sqrt{23} < m/n + 4/mn \). Construiti si trei exemple numerice.

[ Stelele Matematicii 2008 - Problema 5 ]
Life is complex: it has real and imaginary components.
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